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Finding the Fourth Proportional to 8,137.65, 12,199.19 and 4,237.59

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Solution

The fourth proportional to 8,137.65, 12,199.19 and 4,237.59 is: 6,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.65 : 12,199.19 = 4,237.59 : x
  2. Step 2: Convert to fraction form
    8,137.65/12,199.19 = 4,237.59/x
  3. Step 3: Cross multiply
    8,137.65x = 12,199.19 × 4,237.59
  4. Step 4: Simplify right side
    8,137.65x = 51,695,144.36
  5. Step 5: Solve for x
    x = 51,695,144.36/8,137.65
  6. Step 6: Final answer
    x = 6,352.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.